DLMF:10.39.E6 (Q3574): Difference between revisions

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imported>Admin
Property / Symbols used
 
Property / Symbols used: Kummer confluent hypergeometric function / rank
 
Normal rank
Property / Symbols used: Kummer confluent hypergeometric function / qualifier
 
test:

U ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}

\KummerconfhyperU@{\NVar{a}}{\NVar{b}}{\NVar{z}}
Property / Symbols used: Kummer confluent hypergeometric function / qualifier
 
xml-id: C13.S2.E6.m2adec

Revision as of 13:51, 2 January 2020

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DLMF:10.39.E6
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    K ν ( z ) = π 1 2 ( 2 z ) ν e - z U ( ν + 1 2 , 2 ν + 1 , 2 z ) , modified-Bessel-second-kind 𝜈 𝑧 superscript 𝜋 1 2 superscript 2 𝑧 𝜈 superscript 𝑒 𝑧 Kummer-confluent-hypergeometric-U 𝜈 1 2 2 𝜈 1 2 𝑧 {\displaystyle{\displaystyle K_{\nu}\left(z\right)=\pi^{\frac{1}{2}}(2z)^{\nu}% e^{-z}U\left(\nu+\tfrac{1}{2},2\nu+1,2z\right),}}
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    U ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    C13.S2.E6.m2adec
    0 references